Home / 5,698-8,348

Finding the Third Proportional to 5,698 and 8,348

Calculator

Solution

The third proportional to 5,698 and 8,348 is: 12,230.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698 : 8,348 = 8,348 : x
  2. Step 2: Convert to fraction form
    5,698/8,348 = 8,348/x
  3. Step 3: Cross multiply
    5,698x = 8,348 × 8,348
  4. Step 4: Simplify right side
    5,698x = 69,689,104
  5. Step 5: Solve for x
    x = 69,689,104/5,698
  6. Step 6: Final answer
    x = 12,230.45

Related Problems

Find third proportional to 2,849 and 4,174
Half scale
Find third proportional to 11,396 and 16,696
Double scale
Find third proportional to 5,700 and 8,351
Similar ratio
Find third proportional to 8,547 and 12,522
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.